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Finding the Fourth Proportional to 25,175.02, 37,762.65 and 7,645

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Solution

The fourth proportional to 25,175.02, 37,762.65 and 7,645 is: 11,467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,175.02 : 37,762.65 = 7,645 : x
  2. Step 2: Convert to fraction form
    25,175.02/37,762.65 = 7,645/x
  3. Step 3: Cross multiply
    25,175.02x = 37,762.65 × 7,645
  4. Step 4: Simplify right side
    25,175.02x = 288,695,459.25
  5. Step 5: Solve for x
    x = 288,695,459.25/25,175.02
  6. Step 6: Final answer
    x = 11,467.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.